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Deployment of machine learning algorithms into real-world practice is still a difficult task. One of the challenges lies in the unpredictable variability of input data, which may differ significantly among individual users, institutions,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Roman Stoklasa

Analysis on the unit sphere $\mathbb{S}^{2}$ found many applications in seismology, weather prediction, astrophysics, signal analysis, crystallography, computer vision, computerized tomography, neuroscience, and statistics. In the last two…

Functional Analysis · Mathematics 2015-03-03 Isaac Z. Pesenson

Image compression emerges as a pivotal tool in the efficient handling and transmission of digital images. Its ability to substantially reduce file size not only facilitates enhanced data storage capacity but also potentially brings…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Justin Yang , Zhihao Duan , Andrew Peng , Yuning Huang , Jiangpeng He , Fengqing Zhu

We compare a recently proposed multivariate spline based on mixed partial derivatives with two other standard splines for the scattered data smoothing problem. The splines are defined as the minimiser of a penalised least squares…

Numerical Analysis · Mathematics 2020-03-04 Elizabeth Harris , Bishnu Lamichhane , Quoc Thong Le Gia

We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

Image and Video Processing · Electrical Eng. & Systems 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation. After presenting the natural extension of cubic splines to the Wasserstein space, we…

Optimization and Control · Mathematics 2018-07-27 Jean-David Benamou , Thomas Gallouët , François-Xavier Vialard

Models optimized for accuracy on single images are often prohibitively slow to run on each frame in a video. Recent work exploits the use of optical flow to warp image features forward from select keyframes, as a means to conserve…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Samvit Jain , Joseph E. Gonzalez

In this paper, we tackle the problem of dense light field (LF) reconstruction from sparsely-sampled ones with wide baselines and propose a learnable model, namely dynamic interpolation, to replace the commonly-used geometry warping…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Mantang Guo , Jing Jin , Hui Liu , Junhui Hou

Traditional approaches to interpolate/extrapolate frames in a video sequence require accurate pixel correspondences between images, e.g., using optical flow. Their results stem on the accuracy of optical flow estimation, and could generate…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Zhe Hu , Yinglan Ma , Lizhuang Ma

Convolutional networks optimized for accuracy on challenging, dense prediction tasks are prohibitively slow to run on each frame in a video. The spatial similarity of nearby video frames, however, suggests opportunity to reuse computation.…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Samvit Jain , Joseph E. Gonzalez

Digital image inpainting refers to techniques used to reconstruct a damaged or incomplete image by exploiting available image information. The main goal of this work is to perform the image inpainting process from a set of sparsely…

Image and Video Processing · Electrical Eng. & Systems 2021-08-25 Viktor Daropoulos , Matthias Augustin , Joachim Weickert

Interpolating between measures supported by polygonal or polyhedral domains is a problem that has been recently addressed by the semi-discrete optimal transport framework. Within this framework, one of the domains is discretized with a set…

Optimization and Control · Mathematics 2022-06-10 Agathe Herrou , Bruno Lévy , Vincent Nivoliers , Nicolas Bonneel , Julie Digne

Image warping is a necessary step in many multimedia applications such as texture mapping, image-based rendering, panorama stitching, image resizing and optical flow computation etc. Traditionally, color image warping interpolation is…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Chuangye Zhang , Yan Niu , Tieru Wu , Ximing Li

Temporal interpolation often plays a crucial role to learn meaningful representations in dynamic scenes. In this paper, we propose a novel method to train spatiotemporal neural radiance fields of dynamic scenes based on temporal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Sungheon Park , Minjung Son , Seokhwan Jang , Young Chun Ahn , Ji-Yeon Kim , Nahyup Kang

We develop a new computational tool and framework for characterizing the scattering of photons by energy-nonconserving Hamiltonians into unidirectional (chiral) waveguides, for example, with coherent pulsed excitation. The temporal…

Quantum Physics · Physics 2018-05-30 Kevin A. Fischer , Rahul Trivedi , Vinay Ramasesh , Irfan Siddiqi , Jelena Vučković

We introduce a novel approach for object segmentation from 3D images using modified minimal path Eikonal equation. The proposed method utilizes an implicit constraint - a second order correction to the inhomogeneous minimal path Eikonal -…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Jozsef Molnar , Peter Horvath

Effectively extracting inter-frame motion and appearance information is important for video frame interpolation (VFI). Previous works either extract both types of information in a mixed way or elaborate separate modules for each type of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Guozhen Zhang , Yuhan Zhu , Haonan Wang , Youxin Chen , Gangshan Wu , Limin Wang

Intensity inhomogeneities in images constitute a considerable challenge in image segmentation. In this paper we propose a novel biconvex variational model to tackle this task. We combine a total variation approach for multi class…

Numerical Analysis · Mathematics 2017-05-09 Jan Henrik Fitschen , Katharina Losch , Gabriele Steidl

A number of basic image processing tasks, such as any geometric transformation require interpolation at subpixel image values. In this work we utilize the multidimensional coordinate Hermite spline interpolation defined on non-equal spaced,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Konstantinos K. Delibasis , Iro Oikonomou , Aristides I. Kechriniotis , Georgios N. Tsigaridas

We present an effective method for the matching of multimodal images. Accurate image matching is the basis of various applications, such as image registration and structure from motion. Conventional matching methods fail when handling noisy…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Zhongli Fan , Li Zhang , Yuxuan Liu